Partially dissipative systems in the critical regularity setting, and strong relaxation limit
DOI10.4171/EMSS/55MaRDI QIDQ2693171
Publication date: 17 March 2023
Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.12734
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) First-order hyperbolic equations (35L02)
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Cites Work
- The strong relaxation limit of the multidimensional Euler equations
- The optimal decay estimates on the framework of Besov spaces for generally dissipative systems
- Existence of strong solutions with critical regularity to a polytropic model for radiating flows
- Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
- Large time asymptotics for partially dissipative hyperbolic systems
- Decay estimates for hyperbolic balance laws
- Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
- Formation of singularities in three-dimensional compressible fluids
- The initial value problem for the equations of motion of viscous and heat-conductive gases
- Global existence in critical spaces for compressible Navier-Stokes equations
- Strong relaxation of the isothermal Euler system to the heat equation
- Global classical solutions to partially dissipative hyperbolic systems violating the Kawashima condition
- Dissipative structure and entropy for hyperbolic systems of balance laws
- Lifespan of regular solutions for axisymmetric compressible Euler equations in two dimensions
- Entropy and global existence for hyperbolic balance laws
- Flows of non-Lipschitzian vector fields and Navier-Stokes equations
- Relaxation limit in Besov spaces for compressible Euler equations
- Structure of entropies in dissipative multicomponent fluids
- Gas dynamics in thermal nonequilibrium and general hyperbolic systems with relaxation
- Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications
- Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta-Kawashima condition
- Partially dissipative hyperbolic systems in the critical regularity setting: the multi-dimensional case
- Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions
- Diffusive relaxation limit of classical solutions to the damped compressible Euler equations
- Global classical solutions for partially dissipative hyperbolic system of balance laws
- Volume viscosity and internal energy relaxation: symmetrization and Chapman-Enskog expansion
- Hypoelliptic second order differential equations
- Continuity of Solutions of Parabolic and Elliptic Equations
- Hypocoercivity
- Long Time Behavior of Solutions to the 3D Compressible Euler Equations with Damping
- Decay of Dissipative Equations and Negative Sobolev Spaces
- Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
- The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.
- Uniform global existence and parabolic limit for partially dissipative hyperbolic systems
- Global existence for partially dissipative hyperbolic systems in the \(L^p\) framework, and relaxation limit
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